The three posts can be given in 4080 ways among 17 students.
It is given that the number of people available to choose the posts from is 17.
There are three posts here- president, vice president, and secretary.
Now, if we choose a candidate for President first, there are 17 students available.
Next, if we select a Vice-President, there are 16 ways to select the vice-president, since one student already is the president.
At, last there are 15 students available to choose the secretary from as two students already hold a post.
Hence, the number of ways to select the President, Vice-President, and Secretary are-
17 X 16 X 15 ways
Therefore we get
4080 ways.
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